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shepuryov [24]
4 years ago
9

Divide the number 480 in a ratio of 3:5

Mathematics
2 answers:
Schach [20]4 years ago
6 0

If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).


So divide 480 by 8: 480/8 = 60


Then the ratio is (3x60):(5x60) or 180:300


To check it is correct, add up the two parts to see that they come to 480:


180+300 = 480. All good.


Hope this helps


stepan [7]4 years ago
6 0

Answer:

The number 480 after dividing in the ratio 3:5 are 180 and 300

Step-by-step explanation:

We have to divide the number 480 in the ratio 3:5

Let the numbers after dividing be 3x and 5x

(3x:5x=3:5)

3x+5x=480

⇒ 8x=480

Dividing both sides by 8, we get

x=60

So, the numbers after dividing are:

3×60=180

and 5×60=300

Hence, the number 480 after dividing in the ratio 3:5 are 180 and 300

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Find an equation for the perpendicular bisector of the line segment whose endpoints
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Answer:

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Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

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Let's find the gradient of the given line.

\boxed{gradient =  \frac{y1 -y 2}{x1 - x2} }

Gradient of given line

=  \frac{1 - ( - 5)}{3 - ( - 9)}

=  \frac{1 + 5}{3 + 9}

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=   \frac{1}{2}

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Gradient of perpendicular bisector

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Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2})  }

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Substituting (-3, -2) into the equation:

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c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

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